We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space.
- Authors
de Lima, Henrique F.; de Lima, Joseilson R.
- Abstract
We obtain a height estimate concerning to a compact spacelike hypersurface Σn immersed with constantmean curvatureH in the anti-de Sitter space ℍ1n+1 1 ,when its boundary ∂Σ is contained into an umbilical spacelike hypersurface of this spacetime which is isometric to the hyperbolic space ℍn. Our estimate depends only on the value of H and on the geometry of ∂Σ. As applications of our estimate, we obtain a characterization of hyperbolic domains of ℍ1n+1 and nonexistence results in connection with such types of hypersurfaces.
- Subjects
COMPACT spaces (Topology); HYPERSURFACES; HYPERBOLIC spaces; ARBITRARY constants; RIEMANNIAN manifolds; DIFFERENTIABLE manifolds; METRIC spaces; SMOOTHNESS of functions; LINEAR operators
- Publication
International Journal of Mathematics & Mathematical Sciences, 2009, p1
- ISSN
0161-1712
- Publication type
Article
- DOI
10.1155/2009/673508